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aniked [119]
2 years ago
9

THIS IS DUE SOON! PLEASE SOMEONE HELP!!! IM SO CONFUSED!!! SHOW ME STEP BY STEP PLEASE! QUESTION IS IN PICTURE BELOW!

Mathematics
1 answer:
Citrus2011 [14]2 years ago
4 0

Answer:

62.2°

Step-by-step explanation:

formula to count area of triangle

1) √[(s)(s-a)(s-b)(s-c)] , s= (a+b+c)/2

2) 1/2ab sin c

count the area first

s=(8+5+9)/2

=11

area=√[(11)(11-8)(11-5)(11-9)]

= √396

=19.8997

1/2(5)(9) sin c = 19.8997

sin c = 19.8997(2)/45

sin c = 0.8844

c = sin-¹ 0.8844

c = 62.2° (nearest tenth)

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Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = x^3 – 3x^2 + 2x
castortr0y [4]

Answer: The correct option is second, i.e. ,"2 times the integral from 0 to 1 of the quantity x cubed minus 3 times x squared plus 2 times x, dx".

Explanation:

The given equation is,

y=x^3-3x^2+2x

It can be written as,

f(x)=x^3-3x^2+2x

Find the zeros of the equation. Equation the function equal to 0.

0=x^3-3x^2+2x

x(x^2-3x+2)=0

x(x^2-2x-x+2)=0

x(x-2)(x-1)=0

So, the three zeros are 0, 1 and 2.

The graph of the equation is shown below.

From the given graph it is noticed that the enclosed by the curve and x- axis is lies between 0 to 2, but the area from 0 to 1 lies above the x-axis and area from 1 to 2 lies below the x-axis. So the function will be negative from 1 to 2.

The area enclosed by curve and x-axis is,

A=\int_{0}^{1}f(x)dx+\int_{1}^{2}[-f(x)]dx

A=\int_{0}^{1}f(x)dx-\int_{1}^{2}f(x)dx

From the graph it is noticed that the area from 0 to 1 is symmetric or same as area from 1 to 2. So the total area is the twice of area from 0 to 1.

A=2\int_{0}^{1}f(x)dx

A=2\int_{0}^{1}[x^3-3x^2+2x]dx

Therefore, The correct option is "2 times the integral from 0 to 1 of the quantity x cubed minus 3 times x squared plus 2 times x, dx".

3 0
3 years ago
What is 1/3 x 12 help me quick
MArishka [77]

Answer:

12/3 = 4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Bob has $1.15 in his wallet which contains 18 coins in nickels and dimes. Find how many nickles he has.​
ratelena [41]

9514 1404 393

Answer:

  13 nickels

Step-by-step explanation:

Let n represent the number of nickels Bob has. Then 18-n is the number of dimes, and the total value (in cents) is ...

  5n +10(18-n) = 115

  -5n +180 = 115 . . . simplify

  65 = 5n . . . . . add 5n-115

  13 = n . . . . . . . divide by 5

Bob has 13 nickels.

5 0
3 years ago
Read 2 more answers
Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent var
Natalija [7]

Answer:

\displaystyle y=5+\frac{x}{10}

\displaystyle y=10+\frac{(x-75)}{20}

Step-by-step explanation:

<u>Linearization</u>

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

y=f(x)=f(a)+f'(a)(x-a)

Let's find the linearization for the function

y=\sqrt{25+x}

at (0,5) and (75,10)

Computing f'(x)

\displaystyle f'(x)=\frac{1}{2\sqrt{25+x}}

At x=0:

\displaystyle f'(0)=\frac{1}{2\sqrt{25+0}}=\frac{1}{10}

We find f(0)

f(0)=\sqrt{25+0}=5

Thus the linearization is

\displaystyle y=f(0)+f'(0)(x-0)=5+\frac{1}{10}x

\displaystyle y=5+\frac{x}{10}

Now at x=75:

\displaystyle f'(75)=\frac{1}{2\sqrt{25+75}}=\frac{1}{20}

We find f(75)

f(75)=\sqrt{25+75}=10

Thus the linearization is

\displaystyle y=f(75)+f'(75)(x-75)=10+\frac{1}{20}(x-75)

\displaystyle y=10+\frac{(x-75)}{20}

5 0
3 years ago
I need help with this too
Ber [7]

Answer:

486

Step-by-step explanation:

So you would multiply 9*9 to get 81 then add it 6 times to get 486

5 0
3 years ago
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